C.6 is your answer. half of 4 is 2, and your smaller triangle is 2 and 3, half of 6 is 3.
∠A ≅ ∠C
5x - 2 = 48 . . fill in the given information
5x = 50 . . . . . add 2
x = 10 . . . . . . . divide by 5
Answer:
18
Step-by-step explanation:
6 2 1 How many ways does this produce and are they legitimate?
- 6 2 1
- 6 1 2
- 2 6 1
- 2 1 6
- 1 2 6
- 1 6 2
So any combination that you come up with, will produce 6 variations within those three choices. They are legitimate.
Lets see what you get with at most 5 estates to one person
5 3 1 Which will also give 6 variations. There are no other ways to make 5
4 3 2 Which will give 6 variations
I don't think there are any more possible choices.
Are the only 3 ways the estates can be split given the rules. Each choice leads to 6 other choices. The total is 18
Answer:
hey..
their is no picture attached
I would like to help u if u would post another question with attached pic
Let the lengths of the bottom of the box be x and y, and let the length of the squares being cu be z, then
V = xyz . . . (1)
2z + x = 16 => x = 16 - 2z . . . (2)
2z + y = 30 => y = 30 - 2z . . . (3)
Putting (2) and (3) into (1) gives:
V = (16 - 2z)(30 - 2z)z = z(480 - 32z - 60z + 4z^2) = z(480 - 92z + 4z^2) = 480z - 92z^2 + 4z^3
For maximum volume, dV/dz = 0
dV/dz = 480 - 184z + 12z^2 = 0
3z^2 - 46z + 120 = 0
z = 3 1/3 inches
Therefore, for maximum volume, a square of length 3 1/3 (3.33) inches should be cut out from each corner of the cardboard.
The maximum volume is 725 25/27 (725.9) cubic inches.
